Exact traveling wave solutions to the Klein–Gordon equation using the novel (G′/G)-expansion method

M.G. Hafez; Md. Nur Alam; M. Ali Akbar

doi:10.1016/j.rinp.2014.09.001

Results in Physics (Jan 2014)

Exact traveling wave solutions to the Klein–Gordon equation using the novel (G′/G)-expansion method

M.G. Hafez,
Md. Nur Alam,
M. Ali Akbar

Affiliations

M.G. Hafez: Department of Mathematics, Chittagong University of Engineering and Technology, Bangladesh
Md. Nur Alam: Department of Mathematics, Pabna University of Science and Technology, Bangladesh
M. Ali Akbar: Department of Applied Mathematics, University of Rajshahi, Bangladesh

DOI: https://doi.org/10.1016/j.rinp.2014.09.001
Journal volume & issue: Vol. 4, no. C
pp. 177 – 184

Abstract

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The novel (G′/G)-expansion method is one of the powerful methods that appeared in recent times for establishing exact traveling wave solutions of nonlinear partial differential equations. Exact traveling wave solutions in terms of hyperbolic, trigonometric and rational functions to the cubic nonlinear Klein–Gordon equation via this method are obtained in this article. The efficiency of this method for finding exact solutions and traveling wave solutions has been demonstrated. It is shown that the novel (G′/G)-expansion method is a simple and valuable mathematical tool for solving nonlinear evolution equations (NLEEs) in applied mathematics, mathematical physics and engineering.

Published in Results in Physics

ISSN: 2211-3797 (Online)
Publisher: Elsevier
Country of publisher: Netherlands
LCC subjects: Science: Physics
Website: http://www.journals.elsevier.com/results-in-physics/

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